Home
Class 12
MATHS
Find the vector equation of a plane whic...

Find the vector equation of a plane which is parallel to the plane `vecr.(2hati-hatj+2hatk)=5` and passes through the point whose position vector is `(hati+hatj+hatk)`.

Text Solution

Verified by Experts

The correct Answer is:
`vecr.(2hati-hatj+2hatk)=3`
Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28F|18 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28G|20 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28B|30 Videos

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos

  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of a line parallel to the vector 2hati-hatj+2hatk and passing through a point A with position vector 3hati+hatj-hatk .

Find the Cartesian equation of a plane whose vector equation is vecr.(2hati+5hatj-4hatk)=3 .

Find the Cartesian equation of the plane whose vector equation is vecr.(3hati+4hatj-2hatk)=5 .

Find the vector equation of a lie passing through the origin perpendicular to the plane vecr.(hati+2hatj+3hatk)=3 .

Find the cartesian equation of the plane whose vector equation is vecr.(3hati-5hatj+7hatk)+8=0

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr*(hati-hatj+2hatk)=5 and vecr*(3hati+hatj+hatk)=6 .

Find the vector equation o the line passing through (1,2,3) and parallel to the planes vecr.(hati+hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

Find the Cartesian equation of the plane whose vector equation is vecr.(3hati+5hatj-9hatk)=8 .

RS AGGARWAL-THE PLANE-Exercise 28C
  1. Find the vector equation of the plane through the point (3hati+4hatj-h...

    Text Solution

    |

  2. Find the equation of the plane passing through (a,b,c) and paralle tot...

    Text Solution

    |

  3. Find the vector equation of a plane which is parallel to the plane vec...

    Text Solution

    |

  4. Find the equation of the plane through the point (1,4,-2) and parallel...

    Text Solution

    |

  5. Find the equation of the plane passing through the origin and parallel...

    Text Solution

    |

  6. Find the equation of the plane passing through the point (-1,0,7) and ...

    Text Solution

    |

  7. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

    Text Solution

    |

  8. Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0.

    Text Solution

    |

  9. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  10. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  11. Find the equation of the plane passing through the intersection of ...

    Text Solution

    |

  12. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  13. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

  14. Find the equation of the plane passing through the lineof intersection...

    Text Solution

    |

  15. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  16. Find the vector equation to the plane through the point (2,1,-1) pass...

    Text Solution

    |

  17. Find the vector equation of the plane passing through the point (1,1,1...

    Text Solution

    |

  18. Find the equation of a plane passing through the intersection of the p...

    Text Solution

    |

  19. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  20. Find the Cartesian and vector equation of the planes through the line ...

    Text Solution

    |